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Home » The angle between and is a) b) c) d)
The angle between A=\hat{i}+\hat{j} and B=\hat{i}-\hat{j} is a) 40^{\circ} b) 90^{\circ} c) -45^{\circ} d) 180^{\circ}
CBSE | Class 11 | Motion in a Plane | Physics
The angle between A=\hat{i}+\hat{j} and B=\hat{i}-\hat{j} is a) 40^{\circ} b) 90^{\circ} c) -45^{\circ} d) 180^{\circ}

Answer: The correct answer is b) 90o

Given vectors in the question, \overrightarrow{ A }=\hat{ i }+\hat{ j }
and \overrightarrow{ B }=\hat{ i }-\hat{ j }

∵A→·B→=0\because \overrightarrow{ A } \cdot \overrightarrow{ B }=0

It is clear from the fact that the dot product of the two vectors equals zero that the vectors are perpendicular to one another.
Hence, Angle between vectors, \vec{A} and \vec{B} is 90^{\circ}

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